*4.1. Assessment of Velocity Distribution*

The performance of Casson fluid parameter *β*1 on velocity field *g*(*η*) is demonstrated in Figure 2. In this figure, one can see that, for enhancement in *β*1, velocity profile increases near the wall but decreases when *η* > 1.4 and vanishes far away from the surface. This is because an increment in Casson fluid parameter produces a decrease in yield stress and the fluid adopts rheological behavior and associated boundary layer width reduces. In Figure 3, it is analyzed that a rise in magnetic parameter *M*1 drops the fluid velocity. This logic is dependent on the fact that an increment in magnetic field *M*1, which causes an increase in the resistive nature of Lorentz force, and consequently decreases the velocity field. Figure 4 demonstrates the influence of inclination angle *α*1 on *g*(*η*). It is apparent from the sketch that velocity profile *g*(*η*) reduces when the angle of inclination *α*1 increases. This is because, when angle of inclination increases, the impact of magnetic field rises on liquid and as a result Lorentz force increases, which in turn decreases the velocity profile. In addition, for *α*1 = 0, there is no effect of magnetic field on velocity profile, whereas, for *α*1 = *π*/2, maximum resistance is noted. In Figure 5, graphical representation signifies that velocity field is mounting function of Marangoni number *Ma*. This behavior is because of Marangoni number, as it is the ratio between tangential stress and viscosity. Therefore, the fluid with higher surface tension acts more strongly on the surrounding liquid and consequently it enhances velocity of the fluid.

**Figure 4.** Influence of *α*1 on velocity field.

### **Figure 5.** Influence of *Ma* on velocity field.
